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Outer Automorphism Group

A particular type of Automorphism Group which exists only for Groups. For a Group $G$, the outer automorphism group is the Quotient Group $\mathop{\rm Aut}\nolimits (G)/\mathop{\rm Inn}\nolimits (G)$, which is the Automorphism Group of $G$ modulo its Inner Automorphism Group.

See also Automorphism Group, Inner Automorphism Group, Quotient Group

© 1996-9 Eric W. Weisstein